114510315342345 has 64 divisors (see below), whose sum is σ = 206423002727424. Its totient is φ = 53829127342080.

The previous prime is 114510315342337. The next prime is 114510315342373. The reversal of 114510315342345 is 543243513015411.

It is not a de Polignac number, because 114510315342345 - 2³ = 114510315342337 is a prime.

It is a super-2 number, since 2×114510315342345² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114510315342297 and 114510315342306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151993822 + ... + 152745351.

It is an arithmetic number, because the mean of its divisors is an integer number (3225359417616).

Almost surely, 2^{114510315342345} is an apocalyptic number.

114510315342345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114510315342345 is a deficient number, since it is larger than the sum of its proper divisors (91912687385079).

114510315342345 is a wasteful number, since it uses less digits than its factorization.

114510315342345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304739282.

The product of its (nonzero) digits is 432000, while the sum is 42.

Adding to 114510315342345 its reverse (543243513015411), we get a palindrome (657753828357756).

The spelling of 114510315342345 in words is "one hundred fourteen trillion, five hundred ten billion, three hundred fifteen million, three hundred forty-two thousand, three hundred forty-five".